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Title Trends in harmonic analysis / Massimo A. Picardello, editor
Published Milan ; London : Springer, ©2013

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Description 1 online resource
Series Springer INdAM series ; v. 3
Springer INdAM series ; v. 3.
Contents The Shifted Wave Equation on Damek-Ricci Spaces and on Homogeneous Trees / Jean-Philippe Anker, Pierre Martinot, Emmanuel Pedon -- Invariance of Capacity Under Quasisymmetric Maps of the Circle: An Easy Proof / Nicola Arcozzi, Richard Rochberg -- A Koksma-Hlawka Inequality for Simplices / Luca Brandolini, Leonardo Colzani, Giacomo Gigante -- A Dual Interpretation of the Gromov-Thurston Proof of Mostow Rigidity and Volume Rigidity for Representations of Hyperbolic Lattices / Michelle Bucher, Marc Burger, Alessandra Iozzi -- The Algebras Generated by the Laplace Operators in a Semi-homogeneous Tree / Enrico Casadio Tarabusi, Massimo A. Picardello -- Surjunctivity and Reversibility of Cellular Automata over Concrete Categories / Tullio Ceccherini-Silberstein, Michel Coornaert -- Pointwise Convergence of Bochner-Riesz Means in Sobolev Spaces / Leonardo Colzani, Sara Volpi -- Sub-Finsler Geometry and Finite Propagation Speed / Michael G. Cowling, Alessio Martini -- On the Boundary Behavior of Holomorphic and Harmonic Functions / Fausto Di Biase -- Constructing Laplacians on Limit Spaces of Self-similar Groups / Alfredo Donno -- Some Remarks on Generalized Gaussian Noise / Saverio Giulini -- Eigenvalues of the Vertex Set Hecke Algebra of an Affine Building / Anna Maria Mantero, Anna Zappa -- A Liouville Type Theorem for Carnot Groups: A Case Study / Alessandro Ottazzi, Ben Warhurst -- Stochastic Properties of Riemannian Manifolds and Applications to PDE's / Gregorio Pacelli Bessa, Stefano Pigola, Alberto G. Setti -- Characterization of Carleson Measures for Besov Spaces on Homogeneous Trees / Maria Rosaria Tupputi -- Atomic and Maximal Hardy Spaces on a Lie Group of Exponential Growth / Maria Vallarino -- The Maximal Singular Integral: Estimates in Terms of the Singular Integral / Joan Verdera
Summary This book illustrates the wide range of research subjects developed by the Italian research group in harmonic analysis, originally started by Alessandro Figà-Talamanca, to whom it is dedicated in the occasion of his retirement. In particular, it outlines some of the impressive ramifications of the mathematical developments that began when Figà-Talamanca brought the study of harmonic analysis to Italy; the research group that he nurtured has now expanded to cover many areas. Therefore the book is addressed not only to experts in harmonic analysis, summability of Fourier series and singular integrals, but also in potential theory, symmetric spaces, analysis and partial differential equations on Riemannian manifolds, analysis on graphs, trees, buildings and discrete groups, Lie groups and Lie algebras, and even in far-reaching applications as for instance cellular automata and signal processing (low-discrepancy sampling, Gaussian noise)
Bibliography Includes bibliographical references
Notes Print version record
Subject Harmonic analysis.
Fourier Analysis
MATHEMATICS -- Infinity.
Análisis armónico
Harmonic analysis
Genre/Form Festschriften
Festschriften.
Form Electronic book
Author Picardello, Massimo A., 1949-
Figà-Talamanca, Alessandro, 1938-
ISBN 9788847028531
8847028531
8847028523
9788847028524